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Nady [450]
3 years ago
10

Find the value of tan M rounded to the nearest hundredth, if necessary.

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

Answer:

36.9

Step-by-step explanation:

Use the formula a^2 + b^2 = c^2 to find the length of LK.

40 is the hypothenuse because it is directly across from the right angle.

a^2 + 24^2 = 40^2

a^2 = 32

Tan is opposite over hypothenuse.

Tan M = 36.9

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Step-by-step explanation:

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3 years ago
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A magazine currently has 8700 subscribers for its online web version. It is adding members at the rate of R(t) = 190e0.03t subsc
aleksklad [387]

Number of subscriber the magazine will have after 3 years from now approximately be 8767

<u>Solution:</u>

Given that magazine currently has 8700 subscribers for its online web version

\begin{array}{l}{\mathrm{R}(\mathrm{t})=190 \mathrm{e}^{0.03 \mathrm{t}} \text { subscribers/month }} \\\\ {\mathrm{S}(\mathrm{t})=\mathrm{e}^{-0.06 \mathrm{t}}}\end{array}

After 3 years, time(t) = 36 month

Total number of subscribers after 3 years from now :

Substitute "t" = 36

\begin{array}{l}{\mathrm{R}(36)=190 \mathrm{e}^{0.03 \times(36)}=190 \times(2.944)} \\\\ {\mathrm{R}(36) \approx 560} \\\\ {\mathrm{S}(36)=\mathrm{e}^{-0.06 \times(36)}=0.12}\end{array}

Subscribers remaining = 0.12 x 560 = 67.2

The magazine currently has 8700 subscribers

Added Subscriber = 8700 + 560 = 9260

Remaining Subscriber = 8700 + 67.2 = 8767.2

Therefore number of subscriber the magazine will have after 3 years from now approximately be 8767

7 0
3 years ago
What is the solution to the equation 5x = 32?<br> x = 6<br> x = 6.4<br> x = 27<br> x = 160
natali 33 [55]
Dividing thirty-two by five we get
x=32/5
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8 0
2 years ago
What is (40x33)+(4)x4??<br> Good luck
MrRa [10]

Answer:

1336

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For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost
andreev551 [17]

Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

\frac{AB}{ED}= \frac{CB}{CD}

\frac{1.75}{ED}=\frac{2.6}{13.75}

ED = \frac{1.75\times 13.75}{2.6}

ED = 9.25 m

Height of the goalpost is 9.25 m.

4 0
2 years ago
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